Decide whether or not the functions are inverses of each other.f(x) = 
, g(x) = 
A. No
B. Yes; Exclude the value {-3}
C. Yes
Answer: A
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The life expectancy E, in years, for a child born t years after 2000 is given by
.
In what birth year would a child have a life expectancy of 78.06 years?
?
A. 2010 B. 2008 C. 2006 D. That life expectancy never occurs.
Solve the differential equation.y ' e4x + 4ye4x = 4x
A. y = 2x2e-4x + Ce-4x B. y = 2x2e4x + Ce4x C. y = 4x2e4x + Ce4x D. y = 4x2e-4x + Ce-4x
Find the gradient field of the function.f(x, y, z) = ex4 + y3 + z6
A. ?f = x3ex4 + y3 + z6i + y2ex4 + y3 + z6j + z5ex4 + y3 + z6k B. ?f = 4x3ex4 + y3 + z6i + 3y2ex4 + y3 + z6j + 6z5ex4 + y3 + z6k C. ?f = x4ex4 + y3 + z6i + y3ex4 + y3 + z6j + z6ex4 + y3 + z6k D. ?f = 4x3ex4i + 3y2ey3j + 6z5e z6k
Divide. Express the quotient as a mixed number in lowest terms. -4
÷ 3
A. -1
B. -2
C. -1
D. -1